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An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory.
Updates include a chapter by J. H. Silverman on one of the most important developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader. The textAn Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth
An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The firsthalf
An Introduction to the Theory of Knowledge, 2nd Edition guides the reader through the key issues and debates in contemporary epistemology. Lucid, comprehensive and accessible, it is an ideal textbook for students who are new to the subject and for university undergraduates. The book is divided into
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years hasbeen
First published in 1983, Literary Theory: An Introduction is probably the best-selling work of literary criticism in the world today. It propelled its author to a position of such influence and controversy within the British academy that even Prince Charles once described him as 'that dreadful
The fourth edition of the bestselling An Introduction to Family Therapy provides an overview of the core concepts informing family therapy and systemic practice, covering the development of this innovative field from the 1950s to the present
The essential history of queer theory The reclamation of the term queer over the last several decades marked a shift in the study of sexuality from a focus on supposedly essential categories such as gay and lesbian, to more fluid notions of sexual identity. On the cutting-edge of this significant
Giving an overview of the history of color theory from ancient and classical cultures to contemporary contexts, this book explores important critical principles and provides practical guidance on the use of color in art and design. Going beyond a simple recitation of what has historically been said
Person-Centred Counselling Psychology is an introduction to the philosophy, theory and practice of the person-centred approach. Focusing on the psychological underpinnings of the approach, Ewan Gillon describes the theory of personality on which it is based and the nature of the therapeutic which
Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's
Providing a collection of some of the most provocative and influential writings of film theory in the past thirty years, this anthology aims to provide a polylogue among theorists, deprovincializing the subject. Film Theory multiplies the perspectives and positions, the situations and locations,
An introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to
Demystifying the subject with clarity and verve, History: An Introduction to Theory, Method and Practice familiarizes the reader with the varied spectrum of historical approaches in a balanced, comprehensive and engaging manner. Global in scope, and covering a wide range of topics from the ancient
This book provides an introduction to the theory and practice of diplomacy and its vital role in an era of increasing international uncertainty. The work employs a distinctive 'diplomatic perspective' on international relations and argues that the experience of conducting diplomacy gives rise to a
Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory
A lively and accessible introduction to themes and debates in archaeological theory for students of all levels Archaeological Theory is a relatable, accessible, reader-friendly first step into the world of theory for archaeology students. Recognizing that many students shy away from the study of
With an Introduction and Notes by Claire Seymour, University of Kent at Canterbury. The Return of the Native is widely recognised as the most representative of Hardy's Wessex novels. He evokes the dismal presence and menacing beauty of Egdon Heath - reaching out to touch the lives and fate of all
Thermal physics deals with collections of large numbers of particles - typically 10 to the 23rd power or so. Examples include the air in a balloon, the water in a lake, the electrons in a chunk of metal, and the photons given off by the sun. We can't possibly follow every detail of the motionsof so
An Introduction to Using Theory in Social Work Practice equips the reader to use fourteen key social work theories to guide each phase of the planned change process, from engagement through to evaluation. Suitable for a generalist approach, this book illustrates the value of applying theory to
Is there a theory that explains the essence of consciousness? Or is consciousness itself an illusion? Am I conscious now? Now considered the 'last great mystery of science', consciousness was once viewed with extreme scepticism and rejected by mainstream scientists. It is now a significant area
The revised fifth edition of Clinical Laboratory Animal Medicine: An Introduction is an accessible guide to basic information for conducting animal research safely and responsibly. It includes a review of the unique anatomic and physiologic characteristics of laboratory animals, husbandry
Beginning theory has been helping students navigate through the thickets of literary and cultural theory for over two decades. This new and expanded fourth edition continues to offer readers the best single-volume introduction to the field. The bewildering variety of approaches, theorists and
Updated to include the Black Lives Matter movement, the presidency of Barack Obama, the rise of hate speech on the Internet, and moreSince the publication of the first edition of Critical Race Theory in 2001, the United States has lived through two economic downturns, an outbreak of terrorism, and